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Finding the Fourth Proportional to 434,546.80, 651,431.40 and 284,858.80

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Solution

The fourth proportional to 434,546.80, 651,431.40 and 284,858.80 is: 427,033.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,546.80 : 651,431.40 = 284,858.80 : x
  2. Step 2: Convert to fraction form
    434,546.80/651,431.40 = 284,858.80/x
  3. Step 3: Cross multiply
    434,546.80x = 651,431.40 × 284,858.80
  4. Step 4: Simplify right side
    434,546.80x = 185,565,966,886.32
  5. Step 5: Solve for x
    x = 185,565,966,886.32/434,546.80
  6. Step 6: Final answer
    x = 427,033.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.